Timeline for Generalizing $n$ for $n$-categories
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Aug 26, 2022 at 23:38 | comment | added | Simon Henry | @Mike : Indeed, nice point ! Maybe even better, the Strict $\mathbb{Z}$-categories whose arrows of all dimension are all strictly invertible should also identifies with unbounded chain complex ( I haven't checked it in details, but that should be true for the same reason as why strict $\infty$-groupoids identifies with crossed complex) ncatlab.org/nlab/show/crossed+complex#from_strict_groupoids | |
| Aug 26, 2022 at 21:37 | comment | added | Mike Shulman | A precise connection between (1) and (2) (possibly mentioned at the discussion you link to) is that abelian group objects in the category of strict $\mathbb{Z}$-categories are equivalent to unbounded chain complexes. | |
| Aug 26, 2022 at 15:43 | history | answered | Simon Henry | CC BY-SA 4.0 |